Decompositions of functions defined on finite sets in ${\mathbb{R}}^d$

Khaydar Nurligareev, Ivan Reshetnikov

A finite subset $M\subset {\mathbb{R}}^d$ is basic, if for any function $f:M\to \mathbb{R}$ there exists a collection of functions $f_1, \ldots, f_d \colon \mathbb{R} \to \m…